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Simplifying 3(f + -5) = 2(f + -3) Reorder the terms: 3(-5 + f) = 2(f + -3) (-5 * 3 + f * 3) = 2(f + -3) (-15 + 3f) = 2(f + -3) Reorder the terms: -15 + 3f = 2(-3 + f) -15 + 3f = (-3 * 2 + f * 2) -15 + 3f = (-6 + 2f) Solving -15 + 3f = -6 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. -15 + 3f + -2f = -6 + 2f + -2f Combine like terms: 3f + -2f = 1f -15 + 1f = -6 + 2f + -2f Combine like terms: 2f + -2f = 0 -15 + 1f = -6 + 0 -15 + 1f = -6 Add '15' to each side of the equation. -15 + 15 + 1f = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 1f = -6 + 15 1f = -6 + 15 Combine like terms: -6 + 15 = 9 1f = 9 Divide each side by '1'. f = 9 Simplifying f = 9
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